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svetlana [45]
3 years ago
13

A line goes through the points (-6, -8) and (12, 7).

Mathematics
1 answer:
OleMash [197]3 years ago
3 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have (-6, -8), (12, 7).

Substitute:

m=\dfrac{7-(-8)}{12-(-6)}=\dfrac{7+8}{12+6}=\dfrac{15}{18}=\dfrac{5}{6}

The slope-point form:

y-y_1=m(x-x_1)

We have m = 5/6 and (12, 7).

Substitute:

y-7=\dfrac{5}{6}(x-12)

The slope-intercept form:

y=mx+b

y-7=\dfrac{5}{6}(x-12)\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{6}\cdot12}\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{1}\cdot2\\\\y-7=\dfrac{5}{6}x-10\qquad|+7\\\\y=\dfrac{5}{6}x-3

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Maranda praticed a total of 52 hours in 4 weeks to prepare for a piano recital. If she practiced the same number of hours each w
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The number of practice hours per week for Maranda's piano recital is 13 hours

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